The Mathematical Intelligencer

, Volume 37, Issue 4, pp 52–53 | Cite as

Euler’s Conception of the Derivative

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First Online:

Keywords

Galois Theory Differential Calculus Nonstandard Analysis Integral Calculus Divergent Series 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References

  1. [Bos 1974]
    Bos, H. J. M., Differentials, Higher Order Differentials, and the Derivative in the Leibnizian Calculus, Arch. Hist. Exact Sci., 14 (1974) 1–90.Google Scholar
  2. [Edwards 1969]
    Edwards, H. M., Advanced Calculus, Houghton Mifflin 1969 (Republished by Krieger in 1980 and by Birkhäuser in 1994).Google Scholar
  3. [Edwards 1984]
    Edwards, H. M., Galois Theory, Springer-Verlag, 1984.Google Scholar
  4. [Edwards 2007]
    Edwards, H. M., Euler’s Definition of the Derivative, Bull. AMS, 44 (2007) 575–580.Google Scholar
  5. [Euler 1748]
    Euler, L., Introductio in Analysin Infinitorum, St. Petersburg, 1748. Introduction to the Analysis of the Infinite, John D. Blanton, trans., Springer, New York, 1988.Google Scholar
  6. [Euler 1755]
    Euler, L., Institutiones Calculi Differentialis, St. Petersburg, 1755. Foundations of Differential Calculus, John D. Blanton, trans., Springer, New York, 2000.Google Scholar
  7. [Hardy 1949]
    Hardy, G. H., Divergent Series, Oxford, 1949. Chelsea reprint, 1991.Google Scholar
  8. [Hisil, et al. 2009]
    Hisil, H., Wong, K., Carter, G., Dawson, E., Twisted Edwards Curves Revisited, Conferences in Research and Practice in Information Technology, vol. 98, pp. 7–19, ACS, 2009. Web address: http://iacr.org/archive/asiacrypt2008/53500329/53500329.pdf.
  9. [Kanovei, et al. 2015]
    Euler’s Lute and Edwards’s Oud (this magazine).Google Scholar

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Mathematics New York UniversityNew YorkUSA

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